Question

if the distance between two point is (-17,p)and(7,1) find p​

Answer 1

$\huge\bold\bf{\underline{question:-}}$

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if the distance between two points is (-17,p) and ( 7,1) is 25 and find the value of p

$\huge\bold\bf{\underline{solution:-}}$

Given:-

the distance between two point is (-17,p)and(7,1) is 25.

$\rightarrow\tt \sqrt(-17-7)^2 (p-1^2)=25^2\\ \rightarrow\tt 576+(p-1)^2=625\\ \rightarrow\tt (p-1)^2=625-576\\ \rightarrow\tt (p-1)^2=49\\ \rightarrow\tt p-1=±\sqrt49\\ \rightarrow\tt p-1=±7\\ \rightarrow\tt p=±7\\ \rightarrow\tt p=±7+1\\ \rightarrow\tt p= 8, -6$